The most common and most likely answer to this crossword clue is the 10 letter word KINGFISHER
I've seen this crossword clue in The Times
K
I
N
G
F
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S
H
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R
More clues leading to the result KINGFISHER
- Master chess player is heard to be big-headed beaky type
- Family with girlfriend: is the girl kind of blue?
- One leading chess player’s heard to be big-headed andbeaky sort
- Bird top man and woman located in tree
- One searching after man on board gets the bird
- Powerful piece with angle on head of state in flier
- Flyer’s perch between two rulers
- Loud shrieking comes from this bird
- Bird, with end of beak, snapped his finger
- Bird shrieking horribly, loud coming in
Buddy explains!

The straight part
We know that "beaky sort" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case beaky sort = kingfisher.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does KINGFISHER mean?
KINGFISHER noun- Any of various birds of the suborder Alcedines (or the family Alcedinidae sensu lato), having a large head, short tail and brilliant colouration; they feed mostly on fish.